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Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain

Help Please URGRENTTTTT The Graph Below Shows A Companys Profit Fx In Dollars Depending On The Price Of Pens X In Dollars Sold By The Company Part A What Do The class=

Sagot :

mhanifa

Answer:

Part A

The x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).

The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.

The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.

In the first interval the sale and profit increases, in the second interval the sale and profit decreases.

Part B

Average rate of change from x = 3 to x = 5 is:

  • (f(5) - f(3))/(5 - 3) =
  • (60 - 120)/2 = -30

This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.

Part C

  • The domain is representing the price. It should be profitable so it is between $0 and $6.
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